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Finding the Fourth Proportional to 307,658.82, 461,566.17 and 94,437.54

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Solution

The fourth proportional to 307,658.82, 461,566.17 and 94,437.54 is: 141,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,658.82 : 461,566.17 = 94,437.54 : x
  2. Step 2: Convert to fraction form
    307,658.82/461,566.17 = 94,437.54/x
  3. Step 3: Cross multiply
    307,658.82x = 461,566.17 × 94,437.54
  4. Step 4: Simplify right side
    307,658.82x = 43,589,173,642.02
  5. Step 5: Solve for x
    x = 43,589,173,642.02/307,658.82
  6. Step 6: Final answer
    x = 141,680.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.